Q61.If š¼, š½, š¾, šæ are the roots of the equation š„4 + š„3 + š„2 + š„+ 1 = 0, then š¼2021 + š½2021 + š¾2021 + šæ2021 is equal to (1) 4 (2) 1 (3) -4 (4) -1
What This Question Tests
This question tests the knowledge of roots of unity, specifically understanding that the roots of the given equation are the 5th roots of unity (excluding 1) and their periodic properties to evaluate the sum of high powers of these roots.
Concepts Tested
Formulas Used
1 + x + xĀ² + xĀ³ + xā“ = 0 for x ā 1
xāæ = 1
š NCERT Sections This Tests
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Chemistry Class 11 Ā· Chapter 1
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1.3 ā Define The Following Terms:
Chemistry Class 11 Ā· Chapter 1
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š Question Details
- Chapter
- Complex Numbers
- Topic
- Roots of Unity
- Year
- 2022
- Shift
- 25 Jul Shift 1
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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